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Finding the Fourth Proportional to 138.64, 208.02 and 53.20

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Solution

The fourth proportional to 138.64, 208.02 and 53.20 is: 79.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.64 : 208.02 = 53.20 : x
  2. Step 2: Convert to fraction form
    138.64/208.02 = 53.20/x
  3. Step 3: Cross multiply
    138.64x = 208.02 × 53.20
  4. Step 4: Simplify right side
    138.64x = 11,066.66
  5. Step 5: Solve for x
    x = 11,066.66/138.64
  6. Step 6: Final answer
    x = 79.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.